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Finding the Fourth Proportional to 10,744.86, 14,822.31 and 6,758.46

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Solution

The fourth proportional to 10,744.86, 14,822.31 and 6,758.46 is: 9,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.86 : 14,822.31 = 6,758.46 : x
  2. Step 2: Convert to fraction form
    10,744.86/14,822.31 = 6,758.46/x
  3. Step 3: Cross multiply
    10,744.86x = 14,822.31 × 6,758.46
  4. Step 4: Simplify right side
    10,744.86x = 100,175,989.24
  5. Step 5: Solve for x
    x = 100,175,989.24/10,744.86
  6. Step 6: Final answer
    x = 9,323.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.